Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George, Ariel Yadin

Research output: Working paper/PreprintPreprint

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Abstract

We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n>2, where only the trivial entropy values can be realized by ergodic IRSs.
Original languageEnglish GB
StatePublished - 1 Jun 2021

Publication series

NamearXiv preprint

Keywords

  • Mathematics - Dynamical Systems
  • Mathematics - Group Theory
  • Mathematics - Probability
  • 37A40
  • 37A15
  • 37A50
  • 60G10

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